Question

Решите уравнение (2/5)^х= (4/9)^х/2

 

Answer 1

$(frac{2}{5})^x = (frac{4}{9})^{ frac{x}{2}};$
$(frac{2}{5})^x = (frac{2}{3})^{x};$
$(frac{2}{5})^x :(frac{2}{3})^{x}=1;$
$(frac{3}{5})^x =1;$
$(frac{3}{5})^x = (frac{3}{5})^0;$
$x=0.$